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Evolution of Logical Reasoning
Lindsay Thibodeau
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The Four Common Conditional Statement Forms In Logical Reasoning
Rule: If P then Q (P) (not P) (Q) (not Q) -Affirming the Consequent -Denying the Antecedent First premise P Q Not P Not Q Conclusion Validity Valid Not Valid
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Wason Selection Task A X 2 3 P not P Q not Q
Rule If there is a vowel, there is an even number Which card(s) do you flip? Correct answer A Why? If card A does not have a even number on the other side it disproves the rule. If the 3 card has a vowel an the other side it disproves the rule as well. General Stucture of the Wason Test
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Example of Wason Test with a Social Contract Rule
Borrowed Car Did not borrow car Filled up tank with gas Did not fill up tank with gas P not P Q not Q
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General Structure of a Social Contract Problem
If you take the benefit, then you must satisfy the requirement. (If P then Q ) Benefit Accepted P Benefit not accepted Not P Requirement satisfied Q Requirement not satisfied Not Q
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Two Problems based on the Wason Selection Test
Abstract Difficult Complex Wason Selection Test Social Easier Simple Why are we better at solving logical problems put in social perspective?
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Evolutionary Perspective Cheater Detection Theory
Rely on social ties to survive We live in social networks Help vs punishment Requirement of a social network Detecting cheaters Especially good at it!!!
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Why are we better…… Social Problems DO NOT activate logical reasoning…
Switched Format Standard format: "If you give me your watch, I will give you $100". “If I take the benefit, then I will satisfy the requirement.” (If P then Q ) Switched format: "If I give you $100, then you give me your watch" “If I satisfy the requirement, then I take the benefit.” (switched form) (If P then Q )
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Why are we better cont’d… Standard Format Switched Format
Benefit Accepted (she gave me her watch) P Q Requirement Not Satisfied (I gave her nothing) Not Q Not P Benefit not Accepted (I got no watch from this woman) Requirement Satisfied (I gave this woman $100) Correct Cheater Detection Answer (expressed in logical terms) P & not Q Q & not P
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Thank you Questions/ Comments?????
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